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Original Articles

A sample size selection procedure for pairwise comparisons of means with unequal variances

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Pages 1497-1505 | Received 01 Aug 1986, Published online: 27 Jun 2007

References

  • Bazarra , M.S. 1975 . An Efficient Cyclic Coordinate Flethod for Optimizing Penalty Functions . Naval Research Logistics Quarterly , 22 : 399 – 404 .
  • Best , M.J. 1975 . A Feasible Conjugate Direction Method to Solve Linearly Constrained Minimization Problems . Journal of Optimization Theory Appl , 16 : 25 – 38 .
  • Broun , Morton B. and Forsythe , Alan B. 1974 . The ANGVA and Multiple Comparisons for Data with Heterogeneous Varianc . Biometrika , 65 : 221 – 224 .
  • Fiacco , A.V. and McCormick , G.P. 1968 . Nonlinear Programming:Seguential Unconstrained Minimization Technigu , New York : John Wiley and Sons .
  • Games , Paul A. and Houell , John F. 1986 . Pairuise Mutliple Comparison Procedures With Unequal N!s and/or Variances:A Monte Carlo Stu . Journal of Educational Statistics , 1 : 113 – 125 .
  • Hochberg , Yosef . 1974 . Some Generalizations of the T-Method in Simultaneous Inference . Journal of Multivarite Analysis , 4 : 224 – 234 .
  • Johnson , Norman L. and Kotz , Samuel . 1970 . Continous Univariate Distributions-2 , New York : John Wiley and Sons .
  • Kaiser , Lee D. and Bowden , David C. 1983 . Simultaneous Confidence Intervals for all Linear Constraints of Weans with Heterogeneous Variances . Communications in Statistics of Theory Meth , 12 ( 1 ) : 73 – 88 .
  • Liebman , Judith , Schrange , Limes , Lasdon , Leonard and Waren , Allen . 1984 . GINO , Palo Alto : The Scientific Press .
  • Miller , Rupert G. 1966 . Simultaneous Statistical Inference , New York : McGraw-Hill Book .
  • Nelson , Peter R. 1982 . Exact Critical Points for the Analysis of Means . Communication in Statistics Theory Math , 11 ( 6 ) : 699 – 709 .
  • Niak , Umesh D. 1967 . Simultaneous Confidence Bounds Concerning Means in the Case of Unequal Variances . The Karnatak University Journal:Science , XII ( 6 ) : 93 – 104 .
  • Ritter , K. 1973 . A Superlinearly Convergent Method for Minimization Problems with Linear Inequality Constrain . Mathematical Programming , 4 ( 6 ) : 44 – 71 .
  • Šidák , Zbynek . 1967 . Rectangular Confidence Regions for Means of Multivariate Normal Distributions . Journal of the American Statistical Association , 62 ( 6 ) : 626 – 633 .
  • Tamhane , Ajit C. 1977 . Multiple Comparisons in Model I One way ANOVA Uith Unequal Variance . Communications in Statistics , A6 ( 1 ) : 15 – 32 .
  • Tamhane , Ajit C. 1979 . A Comparison of Procedures for Multiple Comparisons of Means Uith Unequal Variance . Journal of the American Statistical Association , 74 ( 1 ) : 471 – 480 .
  • Ury , Hans K. and Uiggins , Alvin D. 1971 . Large Sample and Other Multiple Comparions Among Means . British Journal of Mathematical and Statistical Psychology , 24 ( 1 ) : 174 – 194 .
  • Uang , Y.Y. 1971 . Probabilities of Type I Error of welch Tests for the Behrens-Fisher Problem . Journal of the American Statistical Association , 66 ( 1 ) : 605 – 608 .
  • Welch , B.I. 1947 . The Generalization of “Students” Problem Uhen Several Different Population Variances Are Involv . Biometrika , 34 ( 1 ) : 28 – 35 .
  • Wilcox , Rand R. 1985 . An Extended and Slightly Improved Table of Critical Values for Testing q Linear Constraints in a Repeated Measures Design . An Extended and Slightly Improved Table of Critical Values for Testing q Linear Constraints in a Repeated Measures Design , 14 ( 1 ) : 55 – 69 .

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